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The purpose of this article is to discuss a modified
Halpern-type iteration algorithm for a countable family of uniformly totally
quasi- ? -asymptotically nonexpansive multi-valued mappings and
establish some strong convergence theorems under certain conditions. We utilize
the theorems to study a modified Halpern-type iterative algorithm for a system
of equilibrium problems. The results improve and extend the corresponding
results of Chang et al. (Applied
Mathematics and Computation, 218, 6489-6497).
We introduce a k-strictly pseudononspreading
multivalued in Hilbert spaces more general than the class of nonspreading
multivalued. We establish some weak convergence theorems of the sequences
generated by our iterative process. Some new iterative sequences for finding a
common element of the set of solutions for equilibrium problem was introduced.
The results improve and extend the corresponding results of Osilike Isiogugu  (Nonlinear Anal.74 (2011)) and others.
this paper, we introduce a new hybrid iterative algorithm for finding a common
element of the set of common fixed points of a finite family of uniformly
asymptotically nonexpansive semigroups and the set of solutions of an
equilibrium problem in the framework of Hilbert spaces. We then prove the strong
convergence theorem with respect to the proposed iterative algorithm. Our
results in this paper extend and improve some recent known results.
The purpose of this study is to calculate the ratios
of fetal limb bone to nasal bone length (NBL) obtained by transabdominal ultrasound
between 19 and 28 weeks of gestation. Cross-sectional data were obtained from
1408 women with singleton pregnancies who underwent an advanced prenatal
ultrasound examination from August 2006 to September 2008. The single
measurement plane of fetal limb bones was on the longest section of
each structure with appropriate image magnification. To assess repeatability of
the intraobserver, two repeated measurements were obtained in 44 fetuses. The
ratio of fetuses with biparietal diameter (BPD)/NBL was compared with those of
fetal limb bones/NBL. The mean ratio was found between fetal NBL measurements
and BPD (7.240), humerus length (HL) (4.807), radius length (RL) (4.157), ulna
length (UL) (4.502), femur length (FL) (5.131), tibia length (TL) (4.528), and
fibula length (FiL) (4.507). The reference ranges of fetal long bone length/NBL
ratios for the second trimester was established by transabdominal sonography.
There were no significant increases in these ratios with gestational age,
especially the HL/NBL ratio.